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Finding the Third Proportional to 385,636 and 593,116

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Solution

The third proportional to 385,636 and 593,116 is: 912,224.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,636 : 593,116 = 593,116 : x
  2. Step 2: Convert to fraction form
    385,636/593,116 = 593,116/x
  3. Step 3: Cross multiply
    385,636x = 593,116 × 593,116
  4. Step 4: Simplify right side
    385,636x = 351,786,589,456
  5. Step 5: Solve for x
    x = 351,786,589,456/385,636
  6. Step 6: Final answer
    x = 912,224.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.